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Finding the Third Proportional to 522,452 and 781,653

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Solution

The third proportional to 522,452 and 781,653 is: 1,169,449.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,452 : 781,653 = 781,653 : x
  2. Step 2: Convert to fraction form
    522,452/781,653 = 781,653/x
  3. Step 3: Cross multiply
    522,452x = 781,653 × 781,653
  4. Step 4: Simplify right side
    522,452x = 610,981,412,409
  5. Step 5: Solve for x
    x = 610,981,412,409/522,452
  6. Step 6: Final answer
    x = 1,169,449.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.